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Finding the Fourth Proportional to 7,844.88, 11,762.92 and 3,167.14

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Solution

The fourth proportional to 7,844.88, 11,762.92 and 3,167.14 is: 4,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.88 : 11,762.92 = 3,167.14 : x
  2. Step 2: Convert to fraction form
    7,844.88/11,762.92 = 3,167.14/x
  3. Step 3: Cross multiply
    7,844.88x = 11,762.92 × 3,167.14
  4. Step 4: Simplify right side
    7,844.88x = 37,254,814.45
  5. Step 5: Solve for x
    x = 37,254,814.45/7,844.88
  6. Step 6: Final answer
    x = 4,748.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.